FRACTIONAL ANGULAR MOMENTUM AND THE APPLICATION OF THE FRACTIONAL CALCULUS TO QUANTUM MECHANICS
FRACTIONAL ANGULAR MOMENTUM AND THE APPLICATION OF THE FRACTIONAL CALCULUS TO QUANTUM MECHANICS May 8, 2019 Abstract In this dissertation, we develop the fractional derivative and apply it to various problems in Quantum Mechanics. Among other things, we find fractional angular momentum, with “Fractional Spherical Harmonics” as solutions to the squared Quantum Mechanical angular momentum operator, but with non-integer eigenvalues. These fractional functions might be interpreted as intermediate states visited by an orbiting electron as it jumps between the more stable, integer angular ...
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Bildstein, Steven Bentley
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